Mathematics for Philosophers

A Listmania! list by Mr. N. Coombs (UK)
(REAL NAME)   
 
Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics
1.  Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics by José Ferreirós
The list author says:
  "A readable history of the development of set theory"
£51.29   Used & New from: £44.20

Philosophy of Mathematics: Selected Readings
2.  Philosophy of Mathematics: Selected Readings by Paul Benacerraf
The list author says:
  "A collection of the most compelling essays in the philosophy of mathematics"
£36.10   Used & New from: £11.00
5.0 out of 5 stars  See all reviews (1 customer review)

Contributions to the Founding of the Theory of Transfinite Numbers
3.  Contributions to the Founding of the Theory of Transfinite Numbers by Georg Cantor
The list author says:
  "Cantor's only book in translation in English. Excellent introduction."
£4.82
1.0 out of 5 stars  See all reviews (1 customer review)

The Concept of Model: An Introduction to the Materialist Epistemology of Mathematics (Transmission)
4.  The Concept of Model: An Introduction to the Materialist Epistemology of Mathematics (Transmission) by Alain Badiou
The list author says:
  "From Alain Badiou's early years"
£12.16   Used & New from: £8.00

Godel's Proof
5.  Godel's Proof by Douglas R. Hofstadter
The list author says:
  "On Godel's incompleteness theorems, an accessible and sophisticated guide."
£12.99   Used & New from: £6.99
4.9 out of 5 stars  See all reviews (8 customer reviews)

On Formally Undecidable Propositions of "Principia Mathematica" and Related Systems (Dover Books on Mathematics)
6.  On Formally Undecidable Propositions of "Principia Mathematica" and Related Systems (Dover Books on Mathematics) by Kurt Godel
The list author says:
  "This will be steep going for non-mathematicians, but is nonetheless an essential source text. It has a good introduction."
£6.09   Used & New from: £1.06

The Axiom of Choice
7.  The Axiom of Choice by Thomas J Jech
The list author says:
  "On the axiom of choice"
£13.59   Used & New from: £4.51
5.0 out of 5 stars  See all reviews (1 customer review)

Set Theory and the Continuum Hypothesis (Dover Books on Mathematics)
8.  Set Theory and the Continuum Hypothesis (Dover Books on Mathematics) by Paul J Cohen
The list author says:
  "Paul Cohen's forcing theorem. If you are a non-mathematician and can follow this, you know you have made it to the final level."
£12.59   Used & New from: £4.53
3.3 out of 5 stars  See all reviews (3 customer reviews)

Conceptual Mathematics: A First Introduction to Categories
9.  Conceptual Mathematics: A First Introduction to Categories by F. William Lawvere
The list author says:
  "Lawvere's book is an excellent beginners intorduction to categories. Perfect for the non-mathematician to understand the concepts, syntax and even attain some basic proficiency in practice."
£29.04   Used & New from: £24.54
1.0 out of 5 stars  See all reviews (1 customer review)

Philosophy of Arithmetic: Psychological and Logical Investigations - with Supplementary Texts from 1887-1901 (Husserliana: Edmund Husserl - Collected Works)
10.  Philosophy of Arithmetic: Psychological and Logical Investigations - with Supplementary Texts from 1887-1901 (Husserliana: Edmund Husserl - Collected Works) by Edmund Husserl
The list author says:
  "Husserl was purportedly under the influence of Cantor when he wrote this."
£20.89   Used & New from: £20.20

Principles of Mathematics (Routledge Classics)
11.  Principles of Mathematics (Routledge Classics) by Bertrand Russell
The list author says:
  "Whatever you think of Russell's position an absolute classic."
£14.19   Used & New from: £10.48
3.0 out of 5 stars  See all reviews (2 customer reviews)

Being and Event
12.  Being and Event by Alain Badiou
The list author says:
  "Badiou's monumental text uses axiomatic set theory to think ontological multiplicity and inconsistency."
£13.12   Used & New from: £9.87
5.0 out of 5 stars  See all reviews (1 customer review)

Topoi: The Categorial Analysis of Logic (Dover Books on Mathematics)
13.  Topoi: The Categorial Analysis of Logic (Dover Books on Mathematics) by Robert Goldblatt
The list author says:
  "A classic text from a contemporary branch of mathematics."
£19.46   Used & New from: £12.53
4.0 out of 5 stars  See all reviews (1 customer review)

Formal Knot Theory (Dover Books on Mathematics)
14.  Formal Knot Theory (Dover Books on Mathematics) by Louis H Kauffman
The list author says:
  "Introduction to knot theory - a cutting edge branch of mathematics."
£10.39   Used & New from: £4.26

Essays on the Theory of Numbers (Second Edition)
15.  Essays on the Theory of Numbers (Second Edition) by Richard, Dedekind
The list author says:
  "Important essays on number theory."
£5.39   Used & New from: £3.77

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Mr. N. Coombs (UK)
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Qualifications: PhD candidate
Last updated: 06/02/2011
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